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Chapter 12: Q.27 (page 716)

Use the following information to answer the next five exercises. A random sample of ten professional athletes produced the following data where xis the number of endorsements the player has and yis the amount of money made (in millions of dollars)

xyxy
02512
3849
2739
1303
5134
10

Whenn=100and r=-0.89, is there a significant correlation? Explain.

Short Answer

Expert verified

When n=100andr=-0.89there will exist a strong correlation between the given data set.

Step by step solution

01

Step-1 Given Information

Given in the question that, a random sample of ten professional athletes produced the following data wherex is the the number of endorsements the player has and y is the amount of money paid.

02

Step-2 Explanation

The data points are very large asn=100andr=-0.89, therefore it can be surely said that there exists a strong correlation between the given data set.

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Most popular questions from this chapter

A point is removed, and the line of best fit is recalculated. The new correlation coefficient is 0.98. Does the point appear to have been an outlier? Why?

Ethan repairs household appliances like dishwashers and refrigerators. For each visit, he charges \(25plus \)20per hour of work. A linear equation that expresses the total amount of money Ethan earns per visit is y=25+20x.

What are the independent and dependent variables? What is the y-interceptand what is the slope? Interpret them using complete sentences.

59. The Gross Domestic Product Purchasing Power Parity is an indication of a country's currency value compared to another country. Table 12.16 shows the GDPPPP of Cuba as compared to US dollars. Construct a scatter plot of the data.

Year
Cuba's PPP
Year
Cuba's PPP
1999
1,700
2006
4,000
2000
1,700
2007
11,000
2002
2,300
2008
9,500
2003
2,900
2009
9,700
2004
3,000
2010
9,900
2005
3,500

58. Piece-rate systems are widely debated incentive payment plans. In a recent study of loan officer effectiveness, the following piece-rate system was examined:

%of goal reached
<80
80
100
120
Incentive
n/a
\(4,000with an additional \)125added per percentage point from 81-99%
\(6,500with an additional \)125added per percentage point from 101-119%
\(9,500with an additional \)125added per percentage point from 121%

If a loan officer makes 95%of his or her goal, write the linear function that applies based on the incentive plan table. In context, explain the

y-intercept and slope.

Is the following an example of a linear equation? Why or why not?
See all solutions

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